{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "S+P Week 1 - Lesson 3 - Notebook.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "y7QztBIVR1tb",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "outputId": "c78c395f-3b15-4dc1-a905-729a866e1845"
      },
      "source": [
        "!pip install tensorflow==2.0.0b1\n"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting tensorflow==2.0.0b1\n",
            "\u001b[?25l  Downloading https://files.pythonhosted.org/packages/29/6c/2c9a5c4d095c63c2fb37d20def0e4f92685f7aee9243d6aae25862694fd1/tensorflow-2.0.0b1-cp36-cp36m-manylinux1_x86_64.whl (87.9MB)\n",
            "\u001b[K     |████████████████████████████████| 87.9MB 50.3MB/s \n",
            "\u001b[?25hRequirement already satisfied: numpy<2.0,>=1.14.5 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (1.16.4)\n",
            "Collecting tb-nightly<1.14.0a20190604,>=1.14.0a20190603 (from tensorflow==2.0.0b1)\n",
            "\u001b[?25l  Downloading https://files.pythonhosted.org/packages/a4/96/571b875cd81dda9d5dfa1422a4f9d749e67c0a8d4f4f0b33a4e5f5f35e27/tb_nightly-1.14.0a20190603-py3-none-any.whl (3.1MB)\n",
            "\u001b[K     |████████████████████████████████| 3.1MB 42.5MB/s \n",
            "\u001b[?25hRequirement already satisfied: astor>=0.6.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (0.8.0)\n",
            "Requirement already satisfied: six>=1.10.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (1.12.0)\n",
            "Requirement already satisfied: termcolor>=1.1.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (1.1.0)\n",
            "Collecting tf-estimator-nightly<1.14.0.dev2019060502,>=1.14.0.dev2019060501 (from tensorflow==2.0.0b1)\n",
            "\u001b[?25l  Downloading https://files.pythonhosted.org/packages/32/dd/99c47dd007dcf10d63fd895611b063732646f23059c618a373e85019eb0e/tf_estimator_nightly-1.14.0.dev2019060501-py2.py3-none-any.whl (496kB)\n",
            "\u001b[K     |████████████████████████████████| 501kB 50.2MB/s \n",
            "\u001b[?25hRequirement already satisfied: wrapt>=1.11.1 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (1.11.2)\n",
            "Requirement already satisfied: absl-py>=0.7.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (0.7.1)\n",
            "Requirement already satisfied: protobuf>=3.6.1 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (3.7.1)\n",
            "Requirement already satisfied: wheel>=0.26 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (0.33.4)\n",
            "Requirement already satisfied: keras-applications>=1.0.6 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (1.0.8)\n",
            "Requirement already satisfied: grpcio>=1.8.6 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (1.15.0)\n",
            "Requirement already satisfied: google-pasta>=0.1.6 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (0.1.7)\n",
            "Requirement already satisfied: keras-preprocessing>=1.0.5 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (1.1.0)\n",
            "Requirement already satisfied: gast>=0.2.0 in /usr/local/lib/python3.6/dist-packages (from tensorflow==2.0.0b1) (0.2.2)\n",
            "Requirement already satisfied: werkzeug>=0.11.15 in /usr/local/lib/python3.6/dist-packages (from tb-nightly<1.14.0a20190604,>=1.14.0a20190603->tensorflow==2.0.0b1) (0.15.5)\n",
            "Requirement already satisfied: markdown>=2.6.8 in /usr/local/lib/python3.6/dist-packages (from tb-nightly<1.14.0a20190604,>=1.14.0a20190603->tensorflow==2.0.0b1) (3.1.1)\n",
            "Requirement already satisfied: setuptools>=41.0.0 in /usr/local/lib/python3.6/dist-packages (from tb-nightly<1.14.0a20190604,>=1.14.0a20190603->tensorflow==2.0.0b1) (41.2.0)\n",
            "Requirement already satisfied: h5py in /usr/local/lib/python3.6/dist-packages (from keras-applications>=1.0.6->tensorflow==2.0.0b1) (2.8.0)\n",
            "Installing collected packages: tb-nightly, tf-estimator-nightly, tensorflow\n",
            "  Found existing installation: tensorflow 1.14.0\n",
            "    Uninstalling tensorflow-1.14.0:\n",
            "      Successfully uninstalled tensorflow-1.14.0\n",
            "Successfully installed tb-nightly-1.14.0a20190603 tensorflow-2.0.0b1 tf-estimator-nightly-1.14.0.dev2019060501\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "t9HrvPfrSlzS",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "abee8371-7fd7-4a79-d6f8-e71d857be8c3"
      },
      "source": [
        "import tensorflow as tf\n",
        "print(tf.__version__)\n"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "2.0.0-beta1\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "I9x4GjlEVTQN",
        "colab_type": "text"
      },
      "source": [
        "The next code block will set up the time series with seasonality, trend and a bit of noise. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gqWabzlJ63nL",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "3642265f-c25f-4301-9d0f-432d9c872732"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import tensorflow as tf\n",
        "from tensorflow import keras\n",
        "\n",
        "def plot_series(time, series, format=\"-\", start=0, end=None):\n",
        "    plt.plot(time[start:end], series[start:end], format)\n",
        "    plt.xlabel(\"Time\")\n",
        "    plt.ylabel(\"Value\")\n",
        "    plt.grid(True)\n",
        "\n",
        "def trend(time, slope=0):\n",
        "    return slope * time\n",
        "\n",
        "def seasonal_pattern(season_time):\n",
        "    \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n",
        "    return np.where(season_time < 0.4,\n",
        "                    np.cos(season_time * 2 * np.pi),\n",
        "                    1 / np.exp(3 * season_time))\n",
        "\n",
        "def seasonality(time, period, amplitude=1, phase=0):\n",
        "    \"\"\"Repeats the same pattern at each period\"\"\"\n",
        "    season_time = ((time + phase) % period) / period\n",
        "    return amplitude * seasonal_pattern(season_time)\n",
        "\n",
        "def noise(time, noise_level=1, seed=None):\n",
        "    rnd = np.random.RandomState(seed)\n",
        "    return rnd.randn(len(time)) * noise_level\n",
        "\n",
        "time = np.arange(4 * 365 + 1, dtype=\"float32\")\n",
        "baseline = 10\n",
        "series = trend(time, 0.1)  \n",
        "baseline = 10\n",
        "amplitude = 40\n",
        "slope = 0.05\n",
        "noise_level = 5\n",
        "\n",
        "# Create the series\n",
        "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n",
        "# Update with noise\n",
        "series += noise(time, noise_level, seed=42)\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time, series)\n",
        "plt.show()"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wzM34fHUpurXJUq4T5KGqoq4ZLW4Bt3y0NmCehTQaWdIIgiD0UBchlYuw4xrFPcmSljow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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UfdyqJJ1VZVu",
        "colab_type": "text"
      },
      "source": [
        "Now that we have the time series, let's split it so we can start forecasting"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_w0eKap5uFNP",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 767
        },
        "outputId": "43809cd5-f5dd-4a81-f03a-8bd789090cf4"
      },
      "source": [
        "split_time = 1000\n",
        "time_train = time[:split_time]\n",
        "x_train = series[:split_time]\n",
        "time_valid = time[split_time:]\n",
        "x_valid = series[split_time:]\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_train, x_train)\n",
        "plt.show()\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plt.show()"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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BKCdJhROI8xL0hMwxac4s2FqHH/9zAwCj5c5cpHV+pEDt+gMt+rY3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\nREREPsQgjYiIiMiHGKQRERER+dD/A0FRXfUYsNOvAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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XU63Jk6fJOWsNmjWjTn7+xYnzRjiuB9tlizou5DSL+XBoaAbX/8F9ODW+OAew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\nyPFGuwiaAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bjD8ncEZbjEW",
        "colab_type": "text"
      },
      "source": [
        "# Naive Forecast"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Pj_-uCeYxcAb",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "naive_forecast = series[split_time - 1:-1]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JtxwHj9Ig0jT",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "fab6222b-cf21-4bcd-b463-c27ec78e0aea"
      },
      "source": [
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, naive_forecast)"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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kPdIiukFMAy+7X1i//NEXHyb82p/AV3/vlB7vR5rqIBQUizgTcv7wiw9x6HO/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\nrkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fw1SP5WeuixH",
        "colab_type": "text"
      },
      "source": [
        "Let's zoom in on the start of the validation period:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "D0MKg7FNug9V",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "acd2d75f-4fbc-46ff-d243-c97be2f1dc34"
      },
      "source": [
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid, start=0, end=150)\n",
        "plot_series(time_valid, naive_forecast, start=1, end=151)"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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jXYc7frMzxgq64tfxAmzXJxE6ZlKtecEizpkgCIKwJELxMJiJc8OmAu16hapvca93NSm3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\nPF6POMtYUeJ+Qzt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E8OHk03DgO3Dt286rfDMAwzAYSMcp1dvUbZdZsljOHPg+2FXa0RR1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\nhvi/9SXFZ1+qHIkAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "35gIlQLfu0TT",
        "colab_type": "text"
      },
      "source": [
        "You can see that the naive forecast lags 1 step behind the time series."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Uh_7244Gsxfx",
        "colab_type": "text"
      },
      "source": [
        "Now let's compute the mean squared error and the mean absolute error between the forecasts and the predictions in the validation period:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "byNnC7IbsnMZ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "outputId": "5531b0a8-a92f-4abb-db8d-7bcdbdb83a34"
      },
      "source": [
        "print(keras.metrics.mean_squared_error(x_valid, naive_forecast).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, naive_forecast).numpy())"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "61.827538\n",
            "5.937908\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WGPBC9QttI1u",
        "colab_type": "text"
      },
      "source": [
        "That's our baseline, now let's try a moving average:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YGz5UsUdf2tV",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def moving_average_forecast(series, window_size):\n",
        "  \"\"\"Forecasts the mean of the last few values.\n",
        "     If window_size=1, then this is equivalent to naive forecast\"\"\"\n",
        "  forecast = []\n",
        "  for time in range(len(series) - window_size):\n",
        "    forecast.append(series[time:time + window_size].mean())\n",
        "  return np.array(forecast)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HHFhGXQji7_r",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "0b70f82a-9f37-4259-9cc4-ffc849bd6ea3"
      },
      "source": [
        "moving_avg = moving_average_forecast(series, 30)[split_time - 30:]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, moving_avg)"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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dyMuzN2HMXAz3fpqokQyENVPuCTeZk0a1Rzrfvm8TP31s27j/XoWAyl0UCEc3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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wG7pTAd7z0e8",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "outputId": "8ff9046c-e7fe-4bd9-c3e3-a61adfe7d792"
      },
      "source": [
        "print(keras.metrics.mean_squared_error(x_valid, moving_avg).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, moving_avg).numpy())"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "106.674576\n",
            "7.142419\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "JMYPnJqwz8nS",
        "colab_type": "text"
      },
      "source": [
        "That's worse than naive forecast! The moving average does not anticipate trend or seasonality, so let's try to remove them by using differencing. Since the seasonality period is 365 days, we will subtract the value at time *t* – 365 from the value at time *t*."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5pqySF7-rJR4",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "5371751f-328e-4325-bced-48a226f39be8"
      },
      "source": [
        "diff_series = (series[365:] - series[:-365])\n",
        "diff_time = time[365:]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(diff_time, diff_series)\n",
        "plt.show()"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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cGs/dl37pCVz+lQWV5/1rumEls61cs/cYhopl/LRFbavLBCRJzjP1vn47Ji0D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\nafSwaGNfFuSttOSnhlnSbk1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VIiCScuXXFuAlX3o8UpxJ0jxKlWGh/LGrJ8Gvy1SSpnhn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\npKVd4/ig2aJKSVU+/FuNd14VNfL2HQdEdWeyLVV03iY791BQLfPIpDl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2TDrnUG+fJ7z6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\nsSIGX+2QZAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xPlPlS7DskWg",
        "colab_type": "text"
      },
      "source": [
        "Great, the trend and seasonality seem to be gone, so now we can use the moving average:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QmZpz7arsjbb",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "f3438069-cdd5-4ea9-a5f3-6561ecebf647"
      },
      "source": [
        "diff_moving_avg = moving_average_forecast(diff_series, 50)[split_time - 365 - 50:]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, diff_series[split_time - 365:])\n",
        "plot_series(time_valid, diff_moving_avg)\n",
        "plt.show()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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7Ysf83BaGqcLyRn1wyyDNvBepzpiwbhw7TNhjRy5sKr3HOLDSgfJjbJRfs3M2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FVdy2JjqO8chpVcPNgTNU4RjsxN930nxkHUsFyHPJVOmGHahHQpHCdvshILTljT/MR8SSdM5oQp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\nB38CODTHf9rXKVwAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Gno9S2lyecnc",
        "colab_type": "text"
      },
      "source": [
        "Now let's bring back the trend and seasonality by adding the past values from t – 365:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Dv6RWFq7TFGB",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "c5f0a01a-beaf-441c-8cb6-491fa83782b3"
      },
      "source": [
        "diff_moving_avg_plus_past = series[split_time - 365:-365] + diff_moving_avg\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, diff_moving_avg_plus_past)\n",
        "plt.show()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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DOExrJs4KDkUnl1RpDpfyvPq52xNHbUV6WmmUy1VKeDg5xWglT7E1Y99gLM05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\niDgTBEEQBEFYQfz/0VSKIopIERQAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "59jmBrwcTFCx",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "outputId": "515cba30-b4f4-4e1d-e956-bc5cdfa7a956"
      },
      "source": [
        "\n",
        "print(keras.metrics.mean_squared_error(x_valid, diff_moving_avg_plus_past).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, diff_moving_avg_plus_past).numpy())"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "52.97366\n",
            "5.839311\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vx9Et1Hkeusl",
        "colab_type": "text"
      },
      "source": [
        "Better than naive forecast, good. However the forecasts look a bit too random, because we're just adding past values, which were noisy. Let's use a moving averaging on past values to remove some of the noise:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "K81dtROoTE_r",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "63619b29-4791-417d-db06-e017285c2255"
      },
      "source": [
        "diff_moving_avg_plus_smooth_past = moving_average_forecast(series[split_time - 370:-360], 10) + diff_moving_avg\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, diff_moving_avg_plus_smooth_past)\n",
        "plt.show()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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CAN3Eck+opm1jmuWTa65k8M07VpEuSAWnMDhPbuzkW3etYUVbz6FeiiAcEF5U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\nqSL/H27Hd86asgg6AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "iN2MsBxWTE3m",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "outputId": "2eea5d7c-2803-4a7b-d9d0-ec20bd1911d2"
      },
      "source": [
        "print(keras.metrics.mean_squared_error(x_valid, diff_moving_avg_plus_smooth_past).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, diff_moving_avg_plus_smooth_past).numpy())"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "33.45226\n",
            "4.569442\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}